Which of the following is true for displacement ?
(a) It cannot be zero.
(b) Its magnitude is greater than the distance travelled by the object.

Explanation

To determine which of the statements regarding displacement is true, we will analyze each statement one by one.

### Step 1: Analyze Statement (a)
- **Statement (a)**: "It cannot be zero."
- Displacement is defined as the shortest distance from the initial position to the final position of an object, along with the direction. If an object returns to its starting point, the initial and final positions are the same, resulting in a displacement of zero.
- **Conclusion**: This statement is false because displacement can indeed be zero.

### Step 2: Analyze Statement (b)
- **Statement (b)**: "Its magnitude is greater than the distance travelled by the object."
- The distance travelled by an object is the total path length covered, while displacement is the straight-line distance between the initial and final positions. In general, the magnitude of displacement can be less than or equal to the distance travelled, but it cannot be greater.
- For example, if an object moves in a circular path and returns to the starting point, the distance travelled is greater than zero, but the displacement is zero.
- **Conclusion**: This statement is also false because the magnitude of displacement is always less than or equal to the distance travelled.

### Final Conclusion:
Both statements (a) and (b) are false regarding displacement.

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